%0 Generic
%A  Aramaki Junichi
%C Szeged
%D 2023
%F acta:82262
%K Laplace-egyenlet, Sobolev tér
%N 12
%T Existence of nontrivial weak solutions for nonuniformly elliptic equation with mixed boundary condition in a variable exponent Sobolev space
%U http://acta.bibl.u-szeged.hu/82262/
%X In this paper, we consider a mixed boundary value problem for nonuniformly elliptic equation in a variable exponent Sobolev space containing p(·)-Laplacian and mean curvature operator. More precisely, we are concerned with the problem with the Dirichlet condition on a part of the boundary and the Steklov boundary condition on an another part of the boundary. We show the existence of a nontrivial weak solution and at least two nontrivial weak solutions according to some hypotheses on given functions.
%Z Bibliogr.: p. 20-22. ; összefoglalás angol nyelven